mariasouvatzis mariasouvatzis
  • 21-09-2017
  • Mathematics
contestada

the sum of two numbers is 200 and the two numbers are in a ratio of 4:6 find the larger number

Respuesta :

mreijepatmat
mreijepatmat mreijepatmat
  • 21-09-2017
Let x be the 1st number an y, the 2nd:

a) x+y = 200
b) x/y = 4/6

Remember that if we have a/b = c/d, we can write (a+b)/b = (c+d)/d
So if x/y = 4/6, then (x+y)/y = (4+6)/6
But x+y = 200, then:
200/y = 10/6 
Cross multiplication→ 10y = 1200 and y = 120 and x= 200-120 and x = 80.
Proof:
x/y = 80/120 = 8/12 = 4/6 


Answer Link

Otras preguntas

Which is the subject of this sentence? For once in your life, try something new and exciting. A. life B. your C. an understood you D. something i know its
What could have happened if Operation Mincemeat had failed?
An object pronoun takes the place of a/an _______ in the object part of a sentence.? A. verb c. adjective b. different pronoun d. noun
write 0.39 as a fraction in simplest form
During World War II, why were Tehran and Yalta significant?
Which compound has the strongest hydrogen bonding between its molecules? A) HBr B)HCI C)HF D)HI
solve the equation for x, qx+rx=s
"Identify the volume of a regular triangular pyramid with base edge length 9 ft and height 12 ft. Round to the nearest tenth, if necessary." I keep on getting 1
When a species is made up of different smaller groups, each of those smaller groups is known as a _____.
What are the components of adenosine triphosphate (ATP)?